need help with questions 11-14 please

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16.02.2023, solved by verified expert
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Step-by-step explanation:

11) 

7/9 = b/b - 10

Cross multiplying, 

7(b - 10) = 9b

7b - 70 = 9b

Adding 70 to both sides, 

7b = 9b + 70

Subtracting 9b from both sides, 

-2b = 70

Diving both sides by -2, 

b = -35

12) 

9/k - 7 = 6/k

Cross multiplying, 

9k = 6(k - 7) 

9k = 6k - 42

Subtracting 6k from both sides, 

3k = -42

Dividing both sides by 3, 

k = -14

13) 

Using similarity of triangles property, 

(3x - 5)/(3x - 5 + 10) = (28 - 8)/28

(3x - 5)/(3x + 5) = 5/7

Cross multiplying, 

7(3x - 5) = 5(3x + 5) 

21x - 35 = 15x + 25

Subtracting 15x from both sides, 

6x - 35 = 25

Adding 35 to both sides, 

6x = 60

Dividing both sides by 6,

x = 10

14) 

Using similarity of triangles property, 

16/(16 + 6) = x/(x + 9) 

8/11 = x/(x + 9) 

Cross multiplying, 

8(x + 9) = 11x

8x + 72 = 11x

Subtracting 8x from both sides, 

72 = 3x

Dividing both sides by 3,

x = 24

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Faq

StudenGPT
Step-by-step answer
P Answered by Studen AI
To answer the questions, let's analyze the graphs one by one:

Graph A:
- In Graph A, the object starts at rest, then consistently increases its velocity over time. This indicates that the object is accelerating. So, Object A was accelerating.

Graph B:
- In Graph B, the object starts at a higher velocity and maintains a constant velocity throughout. Since the velocity is not changing, this object is not accelerating. So, Object B was not accelerating.

Graph C:
- In Graph C, the object starts at rest and continues with a steady positive velocity over time. This indicates that the object is accelerating. So, Object C was accelerating.

Graph D:
- In Graph D, the object starts with a positive velocity, then slows down gradually and comes to rest. Since the object is decelerating (slowing down), it was accelerating previously. So, Object D was accelerating.

Now let's answer each question:

11*. Which object(s) was not accelerating?
- Object B was not accelerating because its graph showed a constant velocity.

12*. Compare the positive acceleration of the objects above. Which object has the greatest acceleration? How can you tell?
- Object A has the greatest acceleration. This can be determined by comparing the steepness of the graphs. The steeper the line, the greater the acceleration. Object A's graph shows the steepest slope, indicating the highest acceleration.

13*. What is the rate of acceleration for all of the cars that were accelerating?
- The rate of acceleration, or how quickly the velocity changes over time, can be determined by looking at the steepness of the graphs. Based on the given graphs, the rate of acceleration would be the greatest for Object A and Object D.

14*. What is the distance covered by object B?
- To determine the distance covered by the object, we need to find the area under the graph. Since Object B had a constant velocity, the area under the graph would be a rectangle. To find the distance, we multiply the base (time) by the height (velocity). However, the exact values for time and velocity are not provided in the question, so it is not possible to determine the distance covered by Object B without those specific values.
Mathematics
Step-by-step answer
P Answered by Specialist

11. w+23

12. The sum of t and 23 or t added to 23

13. The difference of 45 and n or n subtracted from 45

14. 4n+7

7 is the constant and n is the variable.

Hope this helps!

Thanks,cmkk

Mathematics
Step-by-step answer
P Answered by PhD

11- 64 degrees

12- 66 degrees

13- 89 degrees

14- 99 degrees

Step-by-step explanation:

11. 100 + 130 + 66 = 296

360 - 296 = 64

12. 103 + 133 + 58 = 294

360 - 294 = 66

13. 154 + 88 + 29 = 271

360 - 271 = 89

14. 101 + 92 + 68 = 261

360 - 261 = 99

hope this helps :)

Mathematics
Step-by-step answer
P Answered by PhD

11- 64 degrees

12- 66 degrees

13- 89 degrees

14- 99 degrees

Step-by-step explanation:

11. 100 + 130 + 66 = 296

360 - 296 = 64

12. 103 + 133 + 58 = 294

360 - 294 = 66

13. 154 + 88 + 29 = 271

360 - 271 = 89

14. 101 + 92 + 68 = 261

360 - 261 = 99

hope this helps :)

Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

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